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Finding the Third Proportional to 5,302,214 and 8,160,082

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Solution

The third proportional to 5,302,214 and 8,160,082 is: 12,558,327.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302,214 : 8,160,082 = 8,160,082 : x
  2. Step 2: Convert to fraction form
    5,302,214/8,160,082 = 8,160,082/x
  3. Step 3: Cross multiply
    5,302,214x = 8,160,082 × 8,160,082
  4. Step 4: Simplify right side
    5,302,214x = 66,586,938,246,724
  5. Step 5: Solve for x
    x = 66,586,938,246,724/5,302,214
  6. Step 6: Final answer
    x = 12,558,327.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.